paper

Stability of vortices in rotating taps: a 3d analysis

arXiv:cond-mat/9903353 · doi:10.1103/PhysRevA.60.4864

Abstract

We study the stability of vortex-lines in trapped dilute gases subject to rotation. We solve numerically both the Gross-Pitaevskii and the Bogoliubov equations for a 3d condensate in spherically and cilyndrically symmetric stationary traps, from small to very large nonlinearities. In the stationary case it is found that the vortex states with unit and charge are energetically unstable. In the rotating trap it is found that this energetic instability may only be suppressed for the vortex-line, and that the multicharged vortices are never a local minimum of the energy functional, which implies that the absolute minimum of the energy is not an eigenstate of the operator, when the angular speed is above a certain value, .

10 pages, 7 figures in EPS format

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